None of them are plain dual cores. They are all manufactured using the same die as a quad core.
Some of them are indeed failed quads, but two were stable... So they just lock two. Often they fail because they don' run stable at stock voltage, but if you overclock, and increase the volts, it makes them stable. Still, they're hardware locked, so you need to use the motherboards with the correct Southbridge. You need, I think, At least an SB710 to do this. the SB750 is guaranteed to have the ACC that you need (Advanced Clock Calibration)
The reason its the southbridge that makes a difference is because there has, until now, been an unused pin on the CPU. Having this advanced southbridge means this is used to help give tasks to the southbridge instead of the CPU doing it, thus removing the need for part of the CPU to work. This allows you to bypass this hardware lock, and get them working.
Of course, if they are failed quads, you can still set up ACC, but it won't work. Worst case scenario is that it stops your PC from posting... At which point you need to reset your BIOS and start again.